Particle simulation of thermally-induced rock damage with consideration of temperature-dependent elastic modulus and strength

Xia, Ming; Zhao, Chongbin; Hobbs, B. E.

doi:10.1016/j.compgeo.2013.09.004

Cited by 54 publications

(11 citation statements)

References 32 publications

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“…The temperature evolution of the granite specimen and the thermal cracking process are shown in Figure 25. With an increase in temperature, cracks initiate from the outer boundary of the specimen, gradually extend to the inside of the specimen along the radial direction, and finally extend to the hole at the center of the sample, as shown in Figure 25 from t = 4296 s to t = 11 814 s. The thermal cracking morphology obtained by the numerical model is similar to the fracture morphology observed in the laboratory 52 and previous numerical simulation results, 13 as shown in Figure 26. In addition, it can be clearly seen from t = 9129 s to t = 11 814 s in Figure 24 that there is a significant discontinuity in the temperature distribution at the cracks, which indicates that the 3D thermo-mechanical coupling model can account for the hindering effect of the crack dynamic extension on the heat transfer.…”

Section: Thermal Cracking Experimentssupporting

confidence: 81%

“…Comparison of the final crack morphology of cylindrical specimens: A, results obtained by the 3D thermo‐mechanical coupling model; B, experimental results; C and D, results obtained by particle flow code [Colour figure can be viewed at wileyonlinelibrary.com]…”

Section: Thermal Cracking Experimentsmentioning

confidence: 99%

“…Tomac and Gutierrez simulated coupled forced heat convection and heat conduction using the discrete element method (DEM). Wanne and Young and Xia et al simulated the thermal cracking of rock using particle flow code (PFC). André et al proposed a discrete element thermo‐mechanical model of diffuse damage induced by thermal expansion mismatch of two‐phase materials.…”

Section: Introductionmentioning

confidence: 99%

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A three‐dimensional heat transfer and thermal cracking model considering the effect of cracks on heat transfer

Yan

Jiao

Zheng

2019

Num Anal Meth Geomechanics

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Summary A simple three‐dimensional heat transfer model is developed to consider the hindering effect of cracks on heat transfer. The 3D heat transfer model can also be applied to numerical methods such as the combined finite‐discrete element method (FDEM), discrete element method (DEM), discontinuous deformation analysis (DDA), the numerical manifold method (NMM), and the finite element method (FEM) to construct thermo‐mechanical coupling models that allow these methods to solve thermal cracking problems and dynamically consider the hindering effect of cracks on heat transfer. In the 3D heat transfer model, the continuous‐discontinuous medium is discretized into independent tetrahedral elements, and joint elements are inserted between adjacent tetrahedral elements. Heat transfer calculations for continuous‐discontinuous media are converted to heat conduction in tetrahedral elements and the heat exchange between the adjacent tetrahedral elements through the joint element. If the joint element between adjacent tetrahedral elements breaks (ie, a crack generates), the heat exchange coefficient of the joint element is reduced to account for the hindering effect of cracks on heat conduction. Then the model and the FDEM are combined to build a thermo‐mechanical coupling model to simulate thermal cracking. The thermally induced deformation, stress, and cracking are investigated by the thermo‐mechanical coupling model, and the numerical results are compared with analytical solutions or experimental results. The 3D heat transfer model and thermo‐mechanical model can provide a powerful tool for simulating heat transfer and thermal cracking in a continuous‐discontinuous medium.

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Section: Thermal Cracking Experimentssupporting

confidence: 81%

Section: Thermal Cracking Experimentsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A three‐dimensional heat transfer and thermal cracking model considering the effect of cracks on heat transfer

Yan

Jiao

Zheng

2019

Num Anal Meth Geomechanics

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“…To resolve heat conduction in the particle system, Feng et al [7] presented a 2D model where contacting circular particles share heat flux bonds with their neighbours; such models also exist in 3D using spherical particles [22]. When combining the thermal and bonded particle type of models, thermal fracturing was achieved by Xia et al [32,33] for circular particles and by Andre et al [2] for spherical particles. Among particle-based methods, we also find the peridynamic method [27] which was the principal advantage that its governing equations stay valid over discontinuities.…”

Section: Introductionmentioning

confidence: 99%

A novel thermo-mechanical coupling approach for thermal fracturing of rocks in the three-dimensional FDEM

2020

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This paper presents a new three-dimensional thermo-mechanical (TM) coupling approach for thermal fracturing of rocks in the finite-discrete element method (FDEM). The linear thermal expansion formula is implemented in the context of FDEM according to the concept of the multiplicative split of the deformation gradient. The presented TM formulation is derived in the geo-mechanical solver, enabling thermal expansion and thermally induced fracturing. This TM approach is validated against analytical solutions of the Cauchy stress, thermal expansion and stress distribution. Additionally, the thermal load on the previously validated configurations is increased and the resulting fracture initiation and propagation are observed. Finally, simulation results of the cracking of a reinforced concrete structure under thermal stress are compared to experimental results. Results are in excellent agreement.Keywords Thermo-mechanical (TM) · Finite element method (FEM) · Discrete element method (DEM) · Finite-discrete element method (FDEM) · Thermal cracking · Explicit method · Fracture model

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“…Meng et al [10] established a rock damage model considering freeze-thaw effect and discussed the total damage variables under freeze-thaw load from the aspects of damage area and microelement damage. Xia et al [11,12] believed that under the action of temperature, the linear expansion coefficient of each component in the rock is different, which leads to the thermal stress between particles. When the thermal stress exceeds a certain strength, new defects will be generated, and the thermal damage in the rock will be generated and developed.…”

Section: Introductionmentioning

confidence: 99%

Statistical Constitutive Model of Thermal Damage for Deep Rock considering Initial Compaction Stage and Residual Strength

Zhu

Cao

et al. 2019

Mathematical Problems in Engineering

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From the theory of damage mechanics, based on the Hoek-Brown strength criterion and Weibull distribution law of rock microelement strength, a statistical constitutive model of rock thermal damage is established by using equivalent strain hypothesis, and the theoretical model is modified by considering the compression coefficient and residual strength correction coefficient. The rationality of the modified model is verified by experimental data. The results show that the stress-strain curves of rock can be divided into four stages: initial compaction, stable damage propagation, damage strengthening expansion, and damage failure according to the characteristics of rock damage evolution. The peak stress of rock increases exponentially with the increase of confining pressure, and the maximum damage evolution rate decreases exponentially with the increase of confining pressure, which indicates that confining pressure delays the development of cumulative damage. The peak stress and maximum damage evolution rate of rock decrease exponentially with the increase of temperature, which accelerates the damage of rock. The initial damage of rock is thermal damage caused by temperature, and the damage value increases with the increase of temperature. The revised theoretical curve reflects the characteristics of rock compaction stage and residual strength and improves the coincidence with the experimental curve. The research results provide a reference for the establishment of thermal damage constitutive model of rock in deep engineering.

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Particle simulation of thermally-induced rock damage with consideration of temperature-dependent elastic modulus and strength

Cited by 54 publications

References 32 publications

A three‐dimensional heat transfer and thermal cracking model considering the effect of cracks on heat transfer

A three‐dimensional heat transfer and thermal cracking model considering the effect of cracks on heat transfer

A novel thermo-mechanical coupling approach for thermal fracturing of rocks in the three-dimensional FDEM

Statistical Constitutive Model of Thermal Damage for Deep Rock considering Initial Compaction Stage and Residual Strength

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